Abstract

In a flexoelectric sensing element using bending mode, estimation of the flexoelectric coefficient was investigated using 3-D stress/strain analysis and experiments. The proposed method uses the results (deformation and strain) from the finite element analysis (FEA). The estimated flexoelectric coefficients were compared with those obtained via the conventional method (Euler’s beam theory) under the assumption of the quasi 1-D stress field. The results show that the RMS value and standard deviation of the estimated flexoelectric coefficient for the 3-D stress field case of the sensing element are 31.51 µC/m and 0.24%, respectively. In addition, we found that the flexoelectric coefficient obtained from the results of the 3-D stress analysis is 1.8% smaller than that of the quasi-1-D stress analysis. Therefore, in order to obtain a more reliable flexoelectric coefficient in the sensing element, the results of the 3-D numerical stress analysis should be used for accurate estimation of the flexoelectric coefficient.

Highlights

  • To meet the strict requirements of the rapidly developing industry in different fields, a sensing mechanism using the flexoelectric effect was first introduced and researched by Kogan [1], as an alternative to the sensing mechanism using the piezoelectric effect

  • For the sensing element of the unimorph mode, the present work proposes a new method for estimating the flexoelectric output and flexoelectric coefficient, which consists of using the results of the 3-D structural analysis and experiments with a given input displacement of the element

  • A new method was proposed to estimate more accurately the flexoelectric coefficient of the unimorph typed sensing elements. This method relies on finite element analysis (FEA) and numerical calculation

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Summary

Introduction

To meet the strict requirements of the rapidly developing industry in different fields, a sensing mechanism using the flexoelectric effect was first introduced and researched by Kogan [1], as an alternative to the sensing mechanism using the piezoelectric effect. It is natural that the actual distributions of stress and strain in the sensing element are quite different from those of the quasi-1-D analytical analysis, which can result in the discrepancy between the incident signal strength and measured charge output [9]. In these connections, for the sensing element of the unimorph mode, the present work proposes a new method for estimating the flexoelectric output and flexoelectric coefficient, which consists of using the results of the 3-D structural analysis and experiments with a given input displacement of the element. BBeeccaauusseeAANNSSYYSSWWoorkrkbbeennchchddoeosesnontootfofefrfetrhethsetrsatirnaginragdriaedniteinnttihne tYhediYrecdtiiroenc,titohne, ttohtealtochtaalrgcheadrugee tdoufeletxoofleleexcotreilceitcytriicsitcyalicsulcaatlecdulbaytedthebyfotlhloewfionllgowsteinpgs. sFteirpsst,. thFeirsdte, ftohre‐ mdeaftoiornmaantidonstarnaidn sdtruaeintodtuhee ttoipthdeistpiplacdeimspelnatceomf eeancthofnoedacehanreodobetaarineeodbtbayinFeEdAb.yUFsiEnAg. tUhesinobgttahineeodbrtaesinueltds,rtehseulsttsr,atihnegsrtardaiinengtsraodfieenactshoefleemacehntelaerme ecnaltcaurleatceadl.cuFliantaeldly., Fthineailnly‐, dthueceinddfulecxeodelfleecxtroieclcehcatrrigcecohuartgpeutoouftpthuet uonf itmheourpnhimisoorbpthaiinseodbtbayininedtegbryaitninteggarlalttihnegvaallluthese tvhaaltuaerseththaet amreultthipelmiedulstitpraliiendgsrtardaiinengtraanddiefnlet xaonedleflcetrxiocecloecetfrfiicciceonet.fficient

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